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51384984 = 23372953199
BaseRepresentation
bin1100010000000…
…1001010011000
310120200121221120
43010001022120
5101123304414
65033205240
71162523310
oct304011230
9116617846
1051384984
1127007332
1215260820
13a851921
146b78440
1547a02a9
hex3101298

51384984 has 128 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 13837824.

The previous prime is 51384973. The next prime is 51384989. The reversal of 51384984 is 48948315.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51384989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258117 + ... + 258315.

It is an arithmetic number, because the mean of its divisors is an integer number (1215000).

Almost surely, 251384984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51384984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

51384984 is an abundant number, since it is smaller than the sum of its proper divisors (104135016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51384984 is a wasteful number, since it uses less digits than its factorization.

51384984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 51384984 is about 7168.3320235603. The cubic root of 51384984 is about 371.7737669411.

The spelling of 51384984 in words is "fifty-one million, three hundred eighty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 53 56 58 84 87 106 116 159 168 174 199 203 212 232 318 348 371 398 406 424 597 609 636 696 742 796 812 1113 1194 1218 1272 1393 1484 1537 1592 1624 2226 2388 2436 2786 2968 3074 4179 4452 4611 4776 4872 5572 5771 6148 8358 8904 9222 10547 10759 11144 11542 12296 16716 17313 18444 21094 21518 23084 31641 32277 33432 34626 36888 40397 42188 43036 46168 63282 64554 69252 73829 80794 84376 86072 121191 126564 129108 138504 147658 161588 221487 242382 253128 258216 295316 305863 323176 442974 484764 590632 611726 885948 917589 969528 1223452 1771896 1835178 2141041 2446904 3670356 4282082 6423123 7340712 8564164 12846246 17128328 25692492 51384984